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10859472 = 2432135801
BaseRepresentation
bin101001011011…
…001111010000
3202102201101200
4221123033100
510240000342
61024431200
7161206161
oct51331720
922381350
1010859472
116147978
123778500
132332b30
141629768
15e4794c
hexa5b3d0

10859472 has 60 divisors (see below), whose sum is σ = 32734884. Its totient is φ = 3340800.

The previous prime is 10859461. The next prime is 10859479. The reversal of 10859472 is 27495801.

10859472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6843456 + 4016016 = 2616^2 + 2004^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10859479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1029 + ... + 4772.

Almost surely, 210859472 is an apocalyptic number.

10859472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10859472 is an abundant number, since it is smaller than the sum of its proper divisors (21875412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10859472 is a wasteful number, since it uses less digits than its factorization.

10859472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 10859472 is about 3295.3712992620. The cubic root of 10859472 is about 221.4468821090.

The spelling of 10859472 in words is "ten million, eight hundred fifty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 5801 11602 17403 23204 34806 46408 52209 69612 75413 92816 104418 139224 150826 208836 226239 278448 301652 417672 452478 603304 678717 835344 904956 1206608 1357434 1809912 2714868 3619824 5429736 10859472